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© GC Shiba
Kinematics: Study of motion of a body without taking into account the cause
of motion.
Distance covered: The length of actual path travelled by a body in a given time is
called distance covered. It is a scalar quantity.
Displacement: The length of the vector from initial to final position of a body is
called displacement. It gives the shortest distance between two points. It is a vector
quantity.
Velocity: The time rate of change of displacement is called velocity of a body. It
is a vector quantity.
a) Average velocity: The ratio of total displacement to the time taken is called
average velocity.
=
a. Instantaneous velocity: The velocity of a body at particular instant of time is
called instantaneous velocity.
It is given by
∆
= lim ( )
∆→0 ∆
, =
Note: In case of uniform motion, the average velocity is equal to instantaneous
velocity.
Acceleration: The time rate of change of velocity of a body is called acceleration.
2
It is a vector quantity. Its SI unit is m/s .
Average acceleration:
− 1 ∆
2
= =
− 1 ∆
2
15 Mechanics

